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1941950052 = 2235717103163
BaseRepresentation
bin111001110111111…
…1100111001100100
312000100010021200000
41303233330321210
512434114400202
6520410421300
766060205650
oct16357747144
95010107600
101941950052
119071a88a9
12462431830
1324c430b93
14145ca7a60
15b574791c
hex73bfce64

1941950052 has 288 divisors, whose sum is σ = 6258051072. Its totient is φ = 513962496.

The previous prime is 1941950033. The next prime is 1941950063. The reversal of 1941950052 is 2500591491.

1941950052 is a `hidden beast` number, since 1 + 94 + 19 + 500 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1941949989 and 1941950016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11913723 + ... + 11913885.

It is an arithmetic number, because the mean of its divisors is an integer number (21729344).

Almost surely, 21941950052 is an apocalyptic number.

1941950052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1941950052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129025536).

1941950052 is an abundant number, since it is smaller than the sum of its proper divisors (4316101020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1941950052 is a wasteful number, since it uses less digits than its factorization.

1941950052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1941950052 is about 44067.5623560006. The cubic root of 1941950052 is about 1247.6114498630.

The spelling of 1941950052 in words is "one billion, nine hundred forty-one million, nine hundred fifty thousand, fifty-two".